Tangency question It is easily verified that the graphs of y = 1.1x and y = x have two points of intersection, and the graphs of y = 2x and y = x have no point of intersection. It follows that for some real number 1.1 6 p 6 2, the graphs of y = px and y = x have exactly one point of intersection. Using analytical and>or graphical methods, determine p and the coordinates of the single point of intersection.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.9: Solving Equations And Inequalities Graphically
Problem 45E
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Tangency question It is easily verified that the graphs of y = 1.1x and y = x have two points of intersection, and the graphs of y = 2x and y = x have no point of intersection. It follows that for some real number 1.1 6 p 6 2, the graphs of y = px and y = x have exactly one point of intersection. Using analytical and>or graphical methods, determine p and the coordinates of the single point of intersection.

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